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Finding the Fourth Proportional to 32,827.60, 49,229.40 and 10,646.80

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Solution

The fourth proportional to 32,827.60, 49,229.40 and 10,646.80 is: 15,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.60 : 49,229.40 = 10,646.80 : x
  2. Step 2: Convert to fraction form
    32,827.60/49,229.40 = 10,646.80/x
  3. Step 3: Cross multiply
    32,827.60x = 49,229.40 × 10,646.80
  4. Step 4: Simplify right side
    32,827.60x = 524,135,575.92
  5. Step 5: Solve for x
    x = 524,135,575.92/32,827.60
  6. Step 6: Final answer
    x = 15,966.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.